Question

question given the definitions of f(x) and g(x) below, find the value of (g∘f)(-3). f(x) = x² + 5x + 9 g(x) = 4x - 10 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Find f(-3)

Substitute \( x = -3 \) into \( f(x) = x^2 + 5x + 9 \):
\( f(-3) = (-3)^2 + 5(-3) + 9 \)
\( = 9 - 15 + 9 \)
\( = 3 \)

Step2: Find g(f(-3)) = g(3)

Substitute \( x = 3 \) into \( g(x) = 4x - 10 \):
\( g(3) = 4(3) - 10 \)
\( = 12 - 10 \)
\( = 2 \)

Answer:

2